Since you quoted the Arbabanel I would add that he also points out that the greatest "punishment" for the serpent should have been removing the serpent's ability to speak! And yet that's not listed as the punishment. But it's also worth noting that the serpent seems to lose its ability to speak before God begins punishing. God calls out Adam, Adam speaks and blames the wife, the wife speaks and blames the snake, and the snake...doesn't speak.
However, the question is about the punishment and making sense of it. I'm a believer in using the surrounding text to try and make sense of things. So here's what I've noticed.
- There are 3 beings that are punished
- Adam's punishment is plainly related to his sin of eating a forbidden fruit, so now he will struggle to farm for the rest of his life. From this I'm willing to wager that the other punishments are also related to their sins.
- Let's look at the other two punishments and see if they can shed light on the sins.
On a cursory look, Eve's punishments look fairly detached from her sin. She ate the fruit and so now her childbirth is painful? But perhaps her sin wasn't truly the eating of the fruit, but rather what she hoped to achieve by eating the fruit. The serpent told her that by eating the fruit she would be "like God."
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ה כִּי, יֹדֵעַ אֱלֹהִים, כִּי בְּיוֹם אֲכָלְכֶם מִמֶּנּוּ, וְנִפְקְחוּ עֵינֵיכֶם; וִהְיִיתֶם, כֵּאלֹהִים, יֹדְעֵי, טוֹב וָרָע. 5 for God doth know that in the day ye eat thereof, then your eyes shall be opened, and ye shall be as God, knowing good and evil.' "
It's my opinion that Eve's only experience with God is Him being the creator of all life. Therefore, to her being like God is to be able to create life, and so this was her intent when she ate of the fruit. This not only explains her punishment, but also explains why she and Adam didn't have kids until after being cast out of the garden.
So if Eve wanted to be able to create life, then what did the snake want? Obviously the snake needs some kind of motive, or else why risk God's wrath? Well, let's look at its/their punishment and see if there's anything that ties his punishment to her punishment.
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יד וַיֹּאמֶר יְהוָה אֱלֹהִים אֶל-הַנָּחָשׁ, כִּי עָשִׂיתָ זֹּאת, אָרוּר אַתָּה מִכָּל-הַבְּהֵמָה, וּמִכֹּל חַיַּת הַשָּׂדֶה; עַל-גְּחֹנְךָ תֵלֵךְ, וְעָפָר תֹּאכַל כָּל-יְמֵי חַיֶּיךָ. 14 And the LORD God said unto the serpent: 'Because thou hast done this, cursed art thou from among all cattle, and from among all beasts of the field; upon thy belly shalt thou go, and dust shalt thou eat all the days of thy life.
טו וְאֵיבָה אָשִׁית, בֵּינְךָ וּבֵין הָאִשָּׁה, וּבֵין זַרְעֲךָ, וּבֵין זַרְעָהּ: הוּא יְשׁוּפְךָ רֹאשׁ, וְאַתָּה תְּשׁוּפֶנּוּ עָקֵב. {ס} 15 And I will put enmity between thee and the woman, and between thy seed and her seed; they shall bruise thy head, and thou shalt bruise their heel.' {S}
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The first part of the serpent's punishment is interesting. The snake is now more cursed than all cattle and beasts of the field. This makes sense because the serpent caused humans to sin when the other animals are blameless, but how is that punishment connected to: enmity between woman's seed and serpent's seed?
It's my opinion that the first part of the punishment is echoing back to Adam's failed attempt to mate with the cattle and the beasts of the field (of which the snake would have been a part of).
Genesis 2:20
כ וַיִּקְרָא הָאָדָם שֵׁמוֹת, לְכָל-הַבְּהֵמָה וּלְעוֹף הַשָּׁמַיִם, וּלְכֹל, חַיַּת הַשָּׂדֶה; וּלְאָדָם, לֹא-מָצָא עֵזֶר כְּנֶגְדּוֹ. 20 And the man gave names to all cattle, and to the fowl of the air, and to every beast of the field; but for Adam there was not found a help meet for him.
The second part of the punishment ties into Eve's desire to get pregnant, and my theory is that the snake wanted to be the one to impregnate her. Therefore not only did God diminish the serpent, I believe God removed all of the serpent's appendages, and as the final touch God put enmity between the serpent's seed and Eve's seed as a punishment fitting the almost crime. This also provides motive for the snakes actions, because otherwise the snake appears to have nothing to gain for taking Eve down this path.